x^2-9y^2-2x+6y

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x^2-9y^2-2x+6y
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x^2-9y^2-2x+6y
x^2-9y^2-2x+6y

x^2-9y^2-2x+6y
=(x-1)^2-(3y-1)^2
=(x-1+3y-1)(x-1-3y+1)
=(x+3y-2)(x-3y)

x^2-9y^2-2x+6y
=(x-3y)(x+3y)-2(x-3y)
=(x-3y)(x+3y-2)

x^2-9y^2-2x+6y
=(x^2-2x)-(9y^2-6y)
=[(x-1)^2-1]-[(3y-1)^2-1]
=(x-1)^2-(3y-1)^2